6830904960 has 560 divisors, whose sum is σ = 26932230450. Its totient is φ = 1655976960.

The previous prime is 6830904919. The next prime is 6830904979. The reversal of 6830904960 is 694090386.

It can be written as a sum of positive squares in only one way, i.e., 6147814464 + 683090496 = 78408^2 + 26136^2 .

It is a super-2 number, since 2×6830904960² = 93322525145105203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 620991355 + ... + 620991365.

Almost surely, 2^6830904960 is an apocalyptic number.

6830904960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466115225).

6830904960 is an abundant number, since it is smaller than the sum of its proper divisors (20101325490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6830904960 is an frugal number, since it uses more digits than its factorization.

6830904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6830904960 is about 82649.2889261608. The cubic root of 6830904960 is about 1897.4022633969.

The spelling of 6830904960 in words is "six billion, eight hundred thirty million, nine hundred four thousand, nine hundred sixty".